Abstract. Biological fluid dynamics typically involves geometrically complicated structures which are often deforming in time. We give a brief overview of some approaches based on using fixed Cartesian grids instead of attempting to use a grid which conforms to the boundary. Both finite-difference and finite-volume methods are discussed, as well as a combined approach which has recently been used for computing incompressible flow using the streamfunction-vorticity formulation of the incompressible Navier-Stokes equations.
Preprint: rjl-dcima99.ps.gz ... rjl-dcima99.pdf
bibtex entry:
@InProceedings{dc-rjl:ima99,
author = "R. J. LeVeque and D. Calhoun",
title = "Cartesian Grid Methods for Fluid Flow in Complex
Geometries",
booktitle = "Computational Modeling in Biological Fluid
Dynamics",
editor = "L. J. Fauci and S. Gueron",
series = "IMA Volumes in Mathematics and its Applications",
volume = "124",
publisher = "Springer-Verlag",
pages = "117--143",
year = "2001",
}